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alexandr1967 [171]
2 years ago
12

Answer using that following format.

Mathematics
1 answer:
joja [24]2 years ago
3 0
-3 because the center is connected
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The life spans of a computer manufacturer’s hard drives are normally distributed, with a mean of 3 years 6 months and a standard
german

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%

Given here,

Mean (μ) = 3 years 6 months

= (3×12)+6 = 42 months

Standard deviation (σ) = 9 months

We will find the z-score using the formula: z = (X - μ)/σ

Here X₁ = 2 years 3 months

= (2×12)+3 = 27 months

and X₂ = 3 years 3 months

= (3×12)+3 = 39 months

So, z (X₁ =27) = \frac{27-42}{9} = \frac{-15}{9}= \frac{-5}{3}=-1.666...

and z (X₂ =39) = \frac{39-42}{9}  = \frac{-3}{9}= \frac{-1}{3}= -0.333...

According to the standard normal table,

P(z> -1.666...) = 0.0485 and P(z< -0.333...) = 0.3707

So, P(27 < X < 39)

= 0.3707 - 0.0485

= 0.3222

= 32.22 % [Multiplying by 100 for getting percentage]

So, the probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%

4 0
3 years ago
Read 2 more answers
Are the following triangles similar? Justify your answer.
FinnZ [79.3K]
Yes they are similar because one they're both 90 degree angles, and two if you divide 12÷8 it'll equal 1.5
Same thing with the other side. If you divide 36÷24 it'll equal 1.5
and this shows proof of similarity since its like half the sides, but they both have the same angles.
(Sides doesn't matter, its the angles)
8 0
2 years ago
What is 32/36 in simplest form?
Sav [38]

Answer:

8/9

Step-by-step explanation:

To get a fraction into the simplest form you need to find a common multiple that could divide into both the numerator and the denominator. Then it will decrease.

32 / 4 = 8

36 / 4 = 9

I hope this helps :D

3 0
3 years ago
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Distance between -18 and -4
JulijaS [17]

Hey there! I'm happy to help!

To find the distance between two numbers, you simply subtract them!

-18--4

-18+4 (two negatives makes a positive)

-14.

Have a wonderful day! :D

4 0
3 years ago
Help!! Giving brainless need help
charle [14.2K]

Answer:

A. 15

Step-by-step explanation:

V of a right prism which this is. Is LxWxH

So 1.5x 4x2.5=15

4 0
2 years ago
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